Which the following shows the relation between conservative force F and potential energy U?

Potential energy U(x) and associated force F(x) bear the relation,

$F=-\frac{dU}{dx}$

When the work done by a force is independent of the path followed and depends only on the initial and final position, the force is said to be a conservative force. The work done against conservative force is stored in the form of potential energy. The change in the potential energy of a body is equal to the negative work done by conservative force.

Hence, the conservative force is the negative gradient of the potential.